基于惯容器的动力反共振隔振器隔振特性分析
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摘要
基于一种新型惯性元件——惯容器,设计一种新型动力反共振隔振器,研究该隔振器的低频线谱隔振性能,为舰船动力设备的低频线谱隔振研究提供新思路和理论借鉴。考虑隔振基础的非刚性,建立了此种隔振器的动力学模型,分析了系统的动力学特性和振动传递特性,讨论了相关元件参数(弹簧刚度,阻尼系数,惯容值等)对隔振器隔振性能的影响。分析表明并联惯容器后可使隔振器的固有频率降低,使得隔振器具有更低的隔振频段;同时可形成一个反共振频率,当激振频率在该反共振频率附近时具有优良的隔振性能,从而实现良好的低频线谱隔振。
Based on a new type of inertial element also known as an inerter,a novel dynamic anti-resonance isolator was designed and its low-frequency line spectrum vibration isolation performance was researched. This research was conducted to provide a new idea and theoretical reference for the research on low-frequency line spectrum vibration isolation performance of power equipment in a vessel. The mathematical model of isolation was deduced for the analysis of vibration transmission characteristics with the consideration of the flexibility of the isolator's base. Then,the influence of element parameters( spring stiffness,damping coefficient and inerter,etc.) on the vibration isolation performance was discussed. The analysis shows that the natural frequency of the vibration isolator can decrease after the inerter is introduced into the system in parallel connection,and the anti-resonance frequency is decided by the inerter at the same time. When the excitation frequency is close to the anti-resonance frequency,the isolator has good vibration isolation performance,realizing excellent low-frequency line spectrum vibration isolation performance.
Based on a new type of inertial element also known as an inerter,a novel dynamic anti-resonance isolator was designed and its low-frequency line spectrum vibration isolation performance was researched. This research was conducted to provide a new idea and theoretical reference for the research on low-frequency line spectrum vibration isolation performance of power equipment in a vessel. The mathematical model of isolation was deduced for the analysis of vibration transmission characteristics with the consideration of the flexibility of the isolator's base. Then,the influence of element parameters( spring stiffness,damping coefficient and inerter,etc.) on the vibration isolation performance was discussed. The analysis shows that the natural frequency of the vibration isolator can decrease after the inerter is introduced into the system in parallel connection,and the anti-resonance frequency is decided by the inerter at the same time. When the excitation frequency is close to the anti-resonance frequency,the isolator has good vibration isolation performance,realizing excellent low-frequency line spectrum vibration isolation performance.
引文
[1]方同.多自由度系统中的反共振[J].力学学报,1979(4):360-366.FANG Tong.Antiresonances in multi-degree-of-freedom systems[J].Chinese journal of theoretical and applied mechanics,1979(4):360-366.
[2]FLANNELLY W G.Dynamic antiresonant vibration isolator:America,3322379[P].1964.
[3]SUZUKI H.Dynamic antiresonant vibration isolator[J].Bulletin of the college of engineering,Hosei university,1983,19:55-61.
[4]JONES R,MCGARVEY J.Helicopter rotor isolation evaluation utilizing the dynamic antiresonant vibration isolator:SAE Technical Paper 760894[R].[S.l.]:SAE,1976.
[5]顾仲权.动力反共振隔振[J].噪声与振动控制,1989(6):36-40,32.GU Zhongquan.Dynamic anti-resonance isolation[J].Noise and vibration control,1989(6):36-40,32.
[6]李五洲.反共振隔振装置隔振原理分析[J].直升机技术,2004(1):6-8.LI Wuzou.The Isolation principle analysis on anti-resonance isolator[J].Helicopter technique,2004(1):6-8.
[7]刘劲涛,李小号,高洪波,等.单质体反共振隔振振动机械的理论及应用[J].东北大学学报:自然科学版,2011,32(5):724-727.LIU Jintao,LI Xiaohao,GAO Hongbo,et al.Theory and application of single-mass anti-resonance vibration isolation vibration machinery[J].Journal of Northeastern University:Natural Science,2011,32(5):724-727.
[8]周为民,顾仲权.主动反共振隔振装置的研究(一)理论分析与优化设计[J].南京航空航天大学学报,1989,21(3):1-8.ZHOU Weimin,GU Zhongquan.Research on active dynamic antiresonant vibration isolator-part 1 theoretical analysis and optimization design[J].Journal of Nanjing aeronautical institute,1989,21(3):1-8.
[9]周为民,顾仲权.主动反共振隔振装置的研究(二)试验研究[J].南京航空航天大学学报,1989,21(4):1-6.ZHOU Weimin,GU Zhongquan.Research on active dynamic antiresonant vibration isolator-part 2 experimental study[J].Journal of Nanjing aeronautical institute,1989,21(4):1-6.
[10]SMITH M C.Synthesis of mechanical networks:the inerter[J].IEEE transactions on automatic control,2002,47(10):1648-1662.
[11]陈龙,沈钰杰,杨晓峰,等.基于惯容器-弹簧结构体系的车辆悬架结构设计与试验[J].振动与冲击,2014,33(22):83-87.CHEN Long,SHEN Yujie,YANG Xiaofeng,et al.Design and experiment of vehicle suspension based on inerterspring structure[J].Journal of vibration and shock,2014,33(22):83-87.
[12]杜甫,毛明,陈轶杰,等.基于动力学模型与参数优化的ISD悬架结构设计及性能分析[J].振动与冲击,2014,33(6):59-65.DU Fu,MAO Ming,CHEN Yijie,et al.Structure design and performance analysis of inerter-spring-damper suspension structure based on dynamic model and parameter optimization[J].Journal of vibration and shock,2014,33(6):59-65.
[13]WANG Fucheng,SU Weijun.Impact of inerter nonlinearities on vehicle suspension control[J].Vehicle system dynamics,2008,46(7):575-595.
[14]PAPAGEORGIOU C,HOUGHTON N E,SMITH M C.Experimental testing and analysis of inerter devices[J].Journal of dynamic systems,measurement,and control,2009,131(1):011001.
[15]闫振华,王国强,苏丽达,等.非线性被动隔振器刚度特性研究[J].振动与冲击,2013,32(19):139-143,169.YAN Zhenhua,WANG Guoqiang,SU Lida,et,al.Stiffness characteristics of a non-linear passive vibration isolator[J].Journal of vibration and shock,2013,32(19):139-143,169.
[16]陈龙,杨晓峰,汪若尘,等.基于二元件ISD结构隔振机理的车辆被动悬架设计与性能研究[J].振动与冲击,2013,32(6):90-95.CHEN Long,SHEN Xiaofeng,WANG Ruochen,et al.Design and performance study of vehicle passive suspension based on two-element inerter-spring-damper structure vibration isolation mechanism[J].Journal of vbiration and shock,2013,32(6):90-95.
[2]FLANNELLY W G.Dynamic antiresonant vibration isolator:America,3322379[P].1964.
[3]SUZUKI H.Dynamic antiresonant vibration isolator[J].Bulletin of the college of engineering,Hosei university,1983,19:55-61.
[4]JONES R,MCGARVEY J.Helicopter rotor isolation evaluation utilizing the dynamic antiresonant vibration isolator:SAE Technical Paper 760894[R].[S.l.]:SAE,1976.
[5]顾仲权.动力反共振隔振[J].噪声与振动控制,1989(6):36-40,32.GU Zhongquan.Dynamic anti-resonance isolation[J].Noise and vibration control,1989(6):36-40,32.
[6]李五洲.反共振隔振装置隔振原理分析[J].直升机技术,2004(1):6-8.LI Wuzou.The Isolation principle analysis on anti-resonance isolator[J].Helicopter technique,2004(1):6-8.
[7]刘劲涛,李小号,高洪波,等.单质体反共振隔振振动机械的理论及应用[J].东北大学学报:自然科学版,2011,32(5):724-727.LIU Jintao,LI Xiaohao,GAO Hongbo,et al.Theory and application of single-mass anti-resonance vibration isolation vibration machinery[J].Journal of Northeastern University:Natural Science,2011,32(5):724-727.
[8]周为民,顾仲权.主动反共振隔振装置的研究(一)理论分析与优化设计[J].南京航空航天大学学报,1989,21(3):1-8.ZHOU Weimin,GU Zhongquan.Research on active dynamic antiresonant vibration isolator-part 1 theoretical analysis and optimization design[J].Journal of Nanjing aeronautical institute,1989,21(3):1-8.
[9]周为民,顾仲权.主动反共振隔振装置的研究(二)试验研究[J].南京航空航天大学学报,1989,21(4):1-6.ZHOU Weimin,GU Zhongquan.Research on active dynamic antiresonant vibration isolator-part 2 experimental study[J].Journal of Nanjing aeronautical institute,1989,21(4):1-6.
[10]SMITH M C.Synthesis of mechanical networks:the inerter[J].IEEE transactions on automatic control,2002,47(10):1648-1662.
[11]陈龙,沈钰杰,杨晓峰,等.基于惯容器-弹簧结构体系的车辆悬架结构设计与试验[J].振动与冲击,2014,33(22):83-87.CHEN Long,SHEN Yujie,YANG Xiaofeng,et al.Design and experiment of vehicle suspension based on inerterspring structure[J].Journal of vibration and shock,2014,33(22):83-87.
[12]杜甫,毛明,陈轶杰,等.基于动力学模型与参数优化的ISD悬架结构设计及性能分析[J].振动与冲击,2014,33(6):59-65.DU Fu,MAO Ming,CHEN Yijie,et al.Structure design and performance analysis of inerter-spring-damper suspension structure based on dynamic model and parameter optimization[J].Journal of vibration and shock,2014,33(6):59-65.
[13]WANG Fucheng,SU Weijun.Impact of inerter nonlinearities on vehicle suspension control[J].Vehicle system dynamics,2008,46(7):575-595.
[14]PAPAGEORGIOU C,HOUGHTON N E,SMITH M C.Experimental testing and analysis of inerter devices[J].Journal of dynamic systems,measurement,and control,2009,131(1):011001.
[15]闫振华,王国强,苏丽达,等.非线性被动隔振器刚度特性研究[J].振动与冲击,2013,32(19):139-143,169.YAN Zhenhua,WANG Guoqiang,SU Lida,et,al.Stiffness characteristics of a non-linear passive vibration isolator[J].Journal of vibration and shock,2013,32(19):139-143,169.
[16]陈龙,杨晓峰,汪若尘,等.基于二元件ISD结构隔振机理的车辆被动悬架设计与性能研究[J].振动与冲击,2013,32(6):90-95.CHEN Long,SHEN Xiaofeng,WANG Ruochen,et al.Design and performance study of vehicle passive suspension based on two-element inerter-spring-damper structure vibration isolation mechanism[J].Journal of vbiration and shock,2013,32(6):90-95.